JpGU-AGU Joint Meeting 2017

Presentation information

[JJ] Poster

M (Multidisciplinary and Interdisciplinary) » M-IS Intersection

[M-IS15] [JJ] Geophysical fluid dynamics-Transfield approach to geoscience

Wed. May 24, 2017 3:30 PM - 5:00 PM Poster Hall (International Exhibition Hall HALL7)

convener:Keita Iga(Atmosphere and Ocean Research Institute, The University of Tokyo), Shigeo Yoshida(Department of Earth and Planetary Sciences, Faculty of Sciences, Kyushu University), Takatoshi Yanagisawa(Department of Deep Earth Structure and Dynamics Research, Japan Agency for Marine-Earth Science and Technology), Hidenori AIKI(Nagoya University)

[MIS15-P05] On the mathematical properties of non-linear atmospheric flows counting with heat conductivity, vertically stratified density, rotation of the Earth, humidity and moisture content in the clouds.

*andrei giniatoulline1 (1.Department of Mathematics, Los Andes University, Bogota, Colombia, South America)

Keywords:atmosphere flows, explicit numerical solution, humidity and moisture content in the clouds, vertical stratification of density, existence and uniqueness of solutions of PDE systems, spectrum of internal waves

We construct an explicit solution of a non-linear Navier-Stokes type system of partial differential equations which describes the behavior of the Atmosphere of the Earth taking into account various simultaneous parameters; such as rotation, initial exponentially decreasing vertical stratification of density, heat conductivity, humidity and moisture content in the clouds. To construct the explicit algorithm of the solution, we use the Galerkin method.
We prove the existence and uniqueness of the solution for a limited interval of time.
For the linearized model, we find the structure and localization of the spectrum of internal vibrations of the Atmosphere.
The results may find theoretical application in Atmosphere fluid dynamics, as well as more practical application in weather forecasting.